发表机构
Maxwell Institute for Mathematical Sciences; Heriot-Watt University; Technical University of Munich（麦克斯韦数学科学研究所; 赫瑞-瓦特大学; 慕尼黑工业大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过复兴函数研究已解锥形上高亏格 Gromov-Witten 不变量的强耦合展开，揭示其包含对偶变量闭曲线计数与相对不变量贡献。
AI 中文摘要
Calabi-Yau 三维流形的高亏格 Gromov-Witten 不变量编码在一个生成函数中，该函数是关于形式参数 $\lambda$ 的渐近级数。利用复兴（resurgence）理论，揭示了该形式参数中的解析函数。本文聚焦于已解锥形（resolved conifold），研究复兴解析函数在 $1/\lambda$ 幂次下的强耦合渐近展开的枚举意义。我们证明该展开既包含对偶变量中的闭曲线计数贡献，也包含由相对 Gromov-Witten 不变量支配的贡献，后者自然地在对数几何中解释。
英文摘要
Higher genus Gromov-Witten invariants of Calabi-Yau threefolds are encoded in a generating function which is an asymptotic series in a formal parameter $λ$. Using resurgence, analytic functions in this formal parameter were uncovered. In this paper we focus on the resolved conifold and study the enumerative meaning of the strong-coupling asymptotic expansion, in powers of $ 1/λ$, of the resurgent analytic functions. We show that this expansion contains both a closed curve-counting contribution in dual variables and a contribution governed by relative Gromov-Witten invariants, naturally interpreted in logarithmic geometry.
Comments26 pages
